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Ratio

Proportion

Similar Polygons

Scale Factor

A comparison of two quantities

Equation stating that two ratios are equal. You solve a propo…

Polygons that are the same shape but different sizes

Ratio comparing the lengths of corresponding sides of similar…

Ratio

A comparison of two quantities

Proportion

Equation stating that two ratios are equal. You solve a propo…

Similar Polygons

Scale Factor

Two polygons are similar if the corres…

Two polygons are similar if the corres…

2 Polygons are similar if corresponding angles are congruent…

If 2 polygons are similar, then the ratio of the lengths of t…

Congruent

Similar

Similar Polygons

2 Polygons are similar if corresponding angles are congruent…

Scale Factor

If 2 polygons are similar, then the ratio of the lengths of t…

Ratio

Proportion

Similar polygons

Scale Factor

a comparison of 2 quantities

equation stating that 2 ratios are equal, solved by cross-mul…

polygons that are the same shape, but different sizes

ratio comparing the lengths of corresponding sizes of similar…

Ratio

a comparison of 2 quantities

Proportion

equation stating that 2 ratios are equal, solved by cross-mul…

Proportion

Means

Extremes

Geometric Mean

An equation that states that two ratios are equal

In a proportion, the denominator of the first equation and th…

In a proportion, the numerator of the first equation and the…

A positive number that satisfies the proportion a/x= x/b; x =…

Proportion

An equation that states that two ratios are equal

Means

In a proportion, the denominator of the first equation and th…

Proportion

Means

Extremes

Geometric Mean

An equation that states that two ratios are equal

In a proportion, the denominator of the first equation and th…

In a proportion, the numerator of the first equation and the…

A positive number that satisfies the proportion a/x= x/b; x =…

Proportion

An equation that states that two ratios are equal

Means

In a proportion, the denominator of the first equation and th…

ratio

proportion

similar

scale factor

The ____ of one number to another is the quotient when the fi…

A _____ is an equation stating that two ratios are equal. (ex…

Two polygons are ____ if their vertices can be paired so that…

If two polygons are similar, then the ratio of the lengths of…

ratio

The ____ of one number to another is the quotient when the fi…

proportion

A _____ is an equation stating that two ratios are equal. (ex…

Proportion

Means

Extremes

Geometric Mean

An equation that states that two ratios are equal

In a proportion, the denominator of the first equation and th…

In a proportion, the numerator of the first equation and the…

A positive number that satisfies the proportion a/x= x/b; x =…

Proportion

An equation that states that two ratios are equal

Means

In a proportion, the denominator of the first equation and th…

Proportion

Means

Extremes

Scale Factor

An equation that states that two ratios are equal

In a proportion, the denominator of the first equation and th…

In a proportion, the numerator of the first equation and the…

The common ratio of the lengths of two corresponding sides of…

Proportion

An equation that states that two ratios are equal

Means

In a proportion, the denominator of the first equation and th…

Proportion

Means

Extremes

Geometric Mean

An equation that states that two ratios are equal

In a proportion, the denominator of the first equation and th…

In a proportion, the numerator of the first equation and the…

A positive number that satisfies the proportion a/x= x/b; x =…

Proportion

An equation that states that two ratios are equal

Means

In a proportion, the denominator of the first equation and th…

7.1 similar (∼)

7.1 similar polygons

7.1 similarity ratio

7.2 similarity transformation

figures that have the same shape but not necessarily the same…

two polygons with corresponding angles that are congruent and…

the ratio of the lengths of the corresponding sides of two si…

a dilation or a composite of one or more dilations and one or…

7.1 similar (∼)

figures that have the same shape but not necessarily the same…

7.1 similar polygons

two polygons with corresponding angles that are congruent and…

ratio

proportion

similar

scale factor

The ____ of one number to another is the quotient when the fi…

A _____ is an equation stating that two ratios are equal. (ex…

Two polygons are ____ if their vertices can be paired so that…

If two polygons are similar, then the ratio of the lengths of…

ratio

The ____ of one number to another is the quotient when the fi…

proportion

A _____ is an equation stating that two ratios are equal. (ex…

Ratio

Extended ratios

Proportion

Means

The comparison of two numbers using division; the ratio of a…

Ratios that compare more than 2 values; example: ratios of th…

An equation that states that two ratios are equal

In a proportion, the denominator of the first equation and th…

Ratio

The comparison of two numbers using division; the ratio of a…

Extended ratios

Ratios that compare more than 2 values; example: ratios of th…

Proportion

Means

Extremes

Geometric Mean

An equation that states that two ratios are equal

In a proportion, the denominator of the first equation and th…

In a proportion, the numerator of the first equation and the…

A positive number that satisfies the proportion a/x= x/b; x =…

Proportion

An equation that states that two ratios are equal

Means

In a proportion, the denominator of the first equation and th…

ratio

proportion

means of a proportion

extremes of a proportion

is a comparison of two numbers and can be written in three di…

An equation stating that two ratios are equal

In the proportion a/b = c/d, b and c are the means

In the proportion a/b = c/d, a and d are the extremes

ratio

is a comparison of two numbers and can be written in three di…

proportion

An equation stating that two ratios are equal

ratio

proportion

geometric mean

scale

a comparison if two numbers using division

an equation that states that two ratios are equal

for two positive number (a & B) the positive number x that sa…

a ratio that describes how the dimensions in a scale drawing…

ratio

a comparison if two numbers using division

proportion

an equation that states that two ratios are equal

Reciprocal Property

perimeters of similar polygons

Angle-Angle Similarity Postulate

Side Side Side Similarity Theorem

If two ratios are equal, then their reciprocals are also equal

if two polygons are similar, them the ratio of their perimete…

If two angles of one triangle are congruent to two angles of…

If the corresponding side lengths of two triangles are propor…

Reciprocal Property

If two ratios are equal, then their reciprocals are also equal

perimeters of similar polygons

if two polygons are similar, them the ratio of their perimete…

Regular Polygon

Parallelogram

Rectangle

Rhombus

a polygon with all sides and all angles equal

a quadrilateral with both pairs of opposite sides parallel

A parallelogram with four right angles

A parallelogram with four equal sides

Regular Polygon

a polygon with all sides and all angles equal

Parallelogram

a quadrilateral with both pairs of opposite sides parallel

Scale Drawing

Scale

Proportion

Similar Polygons

a drawing that is the same shape as the object it represents…

A ratio that describes how the dimensions in the drawing are…

Two ratios that are equal

A set of polygons where corresponding angles are congruent an…

Scale Drawing

a drawing that is the same shape as the object it represents…

Scale

A ratio that describes how the dimensions in the drawing are…

ratio

proportion

means of a proportion

extremes of a proportion

is a comparison of two numbers and can be written in three di…

An equation stating that two ratios are equal

In the proportion a/b = c/d, b and c are the means

In the proportion a/b = c/d, a and d are the extremes

ratio

is a comparison of two numbers and can be written in three di…

proportion

An equation stating that two ratios are equal

Proportion

What values are the extremes and means?

Cross product property

Geometric mean

Equation states 2 ratios are equal

a & d extremes whereas c & b are means

product extremes = product means

x = square root ab and a/x = x/b

Proportion

Equation states 2 ratios are equal

What values are the extremes and means?

a & d extremes whereas c & b are means

Ratio

Proportion

Extremes

Means

The comparison of two quantities by division. (7-1)

An equation that equates two ratios. (7-1)

The first and last term of a proportion. (7-1)

The inner terms of a proportion. (7-1)

Ratio

The comparison of two quantities by division. (7-1)

Proportion

An equation that equates two ratios. (7-1)

diameter

diagonal

right trapezoid

two-dimensional

a line segment drawn through the center of a circle with both…

a segment that connects any two vertices of the polygon but i…

a trapezoid with exactly two right angles

a figure that lies on a flat surface that has length and width

diameter

a line segment drawn through the center of a circle with both…

diagonal

a segment that connects any two vertices of the polygon but i…

side of a polygon

vertex of a polygon

diagonal

regular polygon

segment that forms a polygon

common endpoint of two sides

segment that connects any two non consecutive vertices

equilateral and equiangular polygon

side of a polygon

segment that forms a polygon

vertex of a polygon

common endpoint of two sides

Angle-Angle Similarity Postulate (AA~…

Side-Side-Side Similarity Theorem (SSS…

Side-Angle-Side Similarity Theorem (SA…

Triangle Proportionality Theorem (Δ Pr…

If two angles of one triangle are congruent to two angles of…

If the three sides of one triangle are proportional to the th…

If two sides of one triangle are proportional to two sides of…

If a line parallel to a side of a triangle intersects the oth…

Angle-Angle Similarity Postulate (AA~…

If two angles of one triangle are congruent to two angles of…

Side-Side-Side Similarity Theorem (SSS…

If the three sides of one triangle are proportional to the th…

diameter

diagonal

right trapezoid

two-dimensional

a line segment drawn through the center of a circle with both…

a segment that connects any two vertices of the polygon but i…

a trapezoid with exactly two right angles

a figure that lies on a flat surface that has length and width

diameter

a line segment drawn through the center of a circle with both…

diagonal

a segment that connects any two vertices of the polygon but i…

Diagonal

Parallelogram

Rhombus

Rectangle

A segment that connects two nonconsecutive vertices.

A quadrilateral with both pairs of opposite side parallel.

A parallelogram with four congruent sides.

A parallelogram with four right angles.

Diagonal

A segment that connects two nonconsecutive vertices.

Parallelogram

A quadrilateral with both pairs of opposite side parallel.

Concave

Regular Polygon

Diagonal

Vertex of a Polygon

A polygon in which a diagonal can be drawn such that part of…

A quadrilateral that is both equilateral and equiangular.

A segment connecting two nonconsecutive vertices of a polygon.

The intersection of two sides of the polygon.

Concave

A polygon in which a diagonal can be drawn such that part of…

Regular Polygon

A quadrilateral that is both equilateral and equiangular.

Coordinate proof

Equiangular polygon

Equilateral polygon

Isosceles trapezoid

using coordinate geometry and algebra to prove theorems in ge…

a polygon with all angles congruent

a polygon with all sides congruent

a trapezoid with legs that are congruent

Coordinate proof

using coordinate geometry and algebra to prove theorems in ge…

Equiangular polygon

a polygon with all angles congruent

concave

convex

isosceles trapezoid

kite

A polygon where part of the diagonal is in the exterior

A polygon where the entire diagonal is in the interior

Trapezoid where the legs are congruent

Quadrilateral with exactly two pairs of consecutive sides

concave

A polygon where part of the diagonal is in the exterior

convex

A polygon where the entire diagonal is in the interior

midsegment (6.4)

midpoint (1.3)

perpendicular bisector (6.1)

equidistant (6.1)

Connects the midpoints of two sides in a triangle. It is para…

A point that divides a segment into two congruent pieces (in…

A line that is perpendicular to a segment at its midpoint (cu…

The same distance

midsegment (6.4)

Connects the midpoints of two sides in a triangle. It is para…

midpoint (1.3)

A point that divides a segment into two congruent pieces (in…

Concurrent Lines

Angle Bisector

Perpendicular Bisector

Median

3 or more lines that intersect at one point

a segment that suts an angle in half

a segment bisector that is also perpendicular to the segment

a segment that joins a vertex of a triangle and the midpoint…

Concurrent Lines

3 or more lines that intersect at one point

Angle Bisector

a segment that suts an angle in half

Altitude

angle bisector

base

centroid

A perpendicular segment in which one endpoint is a vertex of…

A ray whose endpoint is the vertex and is located in the inte…

The side opposite the vertex angle

The point of intersection of the 3 medians of a triangle

Altitude

A perpendicular segment in which one endpoint is a vertex of…

angle bisector

A ray whose endpoint is the vertex and is located in the inte…

Diagonal

Parallelogram

Rectangle

Rhombus

A segment that connects any two nonconsecutive verticies.

A quadrilateral with both pairs of opposite sides parallel.

A parallelogram with four right angles.

A parallelogram with all four sides congruent.

Diagonal

A segment that connects any two nonconsecutive verticies.

Parallelogram

A quadrilateral with both pairs of opposite sides parallel.

Polygon

Sides

Consecutive vertices

Diagonal

a plane figure that is formed by three or more segments

segment of a pdygon

two vertices that are endpoint of the same sides

a segment that joins two nonconsecutive vertices of a polygon…

Polygon

a plane figure that is formed by three or more segments

Sides

segment of a pdygon

concave

convex

decagon

Hexagon

polygon will always have an interior angle with a measure tha…

all interior angles are less than or equal to 180 degrees

10 sided

6sided

concave

polygon will always have an interior angle with a measure tha…

convex

all interior angles are less than or equal to 180 degrees

base of a trapezoid

base angle of a trapezoid

concave polygon

convex polygon

one of the two parallel sides of the trapezoid.

one of a pair of consecutive angles whose common side is a ba…

a polygon in which a diagonal can be drawn such that part of…

a polygon in which no diagonal contains points in the exterio…

base of a trapezoid

one of the two parallel sides of the trapezoid.

base angle of a trapezoid

one of a pair of consecutive angles whose common side is a ba…

parallelogram

rhombus

rectangle

square

a quadrilateral with both pair of opposite sides parallel

a parallelogram with four congruent sides

a parallelogram with four right angles

a parallelogram with four congruent sides and four right angles

parallelogram

a quadrilateral with both pair of opposite sides parallel

rhombus

a parallelogram with four congruent sides

polygon

vertex of a polygon

consecutive vertices

diagonal

A closed plane figure formed by three or more line segments t…

the point where two sides of a polygon meet

two vertices that are endpoints of the same side of a polygon

A line segment connecting non-adjacent nonconsecutive vertice…

polygon

A closed plane figure formed by three or more line segments t…

vertex of a polygon

the point where two sides of a polygon meet

Ratio

Extended Ratios

Proportion

Extremes and Means

A comparison of two quantities using division.... Ex. a:b

Used to compare three or more quantities.... Ex. a:b:c

An equation stating that two ratios are equal.

Ratio

A comparison of two quantities using division.... Ex. a:b

Extended Ratios

Used to compare three or more quantities.... Ex. a:b:c

Polygon Angle-Sum Theorem

Corollary to the Polygon Angle-Sum The…

Polygon Exterior Angle-Sum Theorem

parallelogram

the sum of the measures of a n-gon is (n-2)180

the measure of each interior angle of a regular polygon is (n…

the sum of the measures of the exterior angles of a convex po…

a quadrilateral whose opposite sides are both parallel and eq…

Polygon Angle-Sum Theorem

the sum of the measures of a n-gon is (n-2)180

Corollary to the Polygon Angle-Sum The…

the measure of each interior angle of a regular polygon is (n…

Midsegment

Midpoint

Perpendicular Bisector

Equidistant

connects the midpoint of two sides in a triangle. It is paral…

a point that divides a segment into congruent pieces (in half)

a line that is perpendicular to a segment at its midpoint (cu…

the same distance

Midsegment

connects the midpoint of two sides in a triangle. It is paral…

Midpoint

a point that divides a segment into congruent pieces (in half)

Midsegment (6.4)

Midpoint (1.3)

Perpendicular Bisector (6.1)

Equidistant (6.1)

Connects the midpoints of two sides in a triangle. It is para…

A point that divides a segment into two congruent pieces (in…

A line that is perpendicular to a segment at its midpoint (cu…

The same distance.

Midsegment (6.4)

Connects the midpoints of two sides in a triangle. It is para…

Midpoint (1.3)

A point that divides a segment into two congruent pieces (in…